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intersection of C1[a], C2[a]
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KY
Oct 10, 2009, 10:57:05 AM10/10/09
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x + y - (a^3 + a^2 + a + 1)=0,
x^2 + y^2 + a^4 - 8*a=0
Ask for the locus of an intersection (x,y)
and also carry out illustration.
----------------------------------------
x + y - (a^4 + a^3 + a^2 + a + 1)=0
x^2 + y^2 + a^4 - 8*a=0
Ask for the locus of an intersection (x,y)
and also carry out illustration.
x^2 + y^2 + a^4 - 8*a=0
Ask for the locus of an intersection (x,y)
and also carry out illustration.
----------------------------------------
x + y - (a^4 + a^3 + a^2 + a + 1)=0
x^2 + y^2 + a^4 - 8*a=0
Ask for the locus of an intersection (x,y)
and also carry out illustration.
William Elliot
Oct 11, 2009, 6:10:24 AM10/11/09
to
On Sat, 10 Oct 2009, KY wrote:
> x + y - (a^3 + a^2 + a + 1)=0,
> x^2 + y^2 + a^4 - 8*a=0
> Ask for the locus of an intersection (x,y)
> and also carry out illustration.
Upon a's whim, it's two, one or no points,
2xy = (a^3 + a^2 + a + 1)^2 + a^4 - 8a
a^6 + 2a^5 + 3a^4 + 4a^3 + 3a^2 + 2a + 1
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